Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bt |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
157068288 |
Modular degree for the optimal curve |
Δ |
5.712030251972E+31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9832644939,-92795513213338] |
[a1,a2,a3,a4,a6] |
Generators |
[-10091479104531155875973458666:548373296866341215259568305468:109096667876327084232839] |
Generators of the group modulo torsion |
j |
86323786849188610514/46901442470561469 |
j-invariant |
L |
7.2561212341118 |
L(r)(E,1)/r! |
Ω |
0.016170993504222 |
Real period |
R |
37.392679018234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28392c1 85176bd1 |
Quadratic twists by: -3 13 |